Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488g |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-29091692544 = -1 · 225 · 3 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 -3 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,159,-8223] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-256:1] |
Generators of the group modulo torsion |
j |
5831/384 |
j-invariant |
L |
1.5918687541992 |
L(r)(E,1)/r! |
Ω |
0.56245608058558 |
Real period |
R |
0.70755246903914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488dm1 1734e1 55488bx1 |
Quadratic twists by: -4 8 17 |